Sie können Bookmarks mittels Listen verwalten, loggen Sie sich dafür bitte in Ihr SLUB Benutzerkonto ein.
Medientyp:
E-Artikel
Titel:
A Hot Spot Proof of the Generalized Wall Theorem
Beteiligte:
Bergelson, Vitaly;
Vandehey, Joseph
Erschienen:
Taylor & Francis, Ltd., 2019
Erschienen in:The American Mathematical Monthly
Sprache:
Englisch
ISSN:
0002-9890;
1930-0972
Entstehung:
Anmerkungen:
Beschreibung:
<p>If a sequence of numbers behaves like a random sequence, do we expect subsequences to also behave like a random sequence? Wall proved that normality of a base-b expansion is preserved along arithmetic progressions. What makes arithmetic progressions special is that they are deterministic sequences, a type of low-complexity sequence. We give a self-contained proof that selection along deterministic sequences preserves normality and provide several interesting examples of nontrivial deterministic sequences.</p>